Sell’s approach [32] to the construction of attractors for the Navier– Stokes equations in 3-dimensions is extended to the 3-D stochastic equations with a general multiplicative noise.

In this paper, the linear quadratic regulation problem for discrete-time systems with state delays and multiplicative noise is considered. The necessary and sufficient condition for the problem admitting a unique solution is given. Under this condition, the optimal feedback control and the optimal cost are presented via a set of coupled difference equations. Our approach is based on the maximum...

speckle is a granular disturbance in coherent images such as synthetic aperture radar (sar) images, modeled as a multiplicative noise. this noise degrades the sar image and complicates the image exploitation using automated image analysis techniques. several approaches have been developed to reduce the effect of speckle noise. recently, the application of compressed sensing (cs) is explored in ...

Necessary and sufficient conditiom are derived nnder which agiven set of hear hcb'onalsassume unique values over the solution sedof a hear equation; the latter property is referred to as partial uniqueness.The wefnlness of the conditions obtained for partial uniqueness is dem-onstrated by applying them to various problems of observab~tyand inputidentirLsbilit...

This paper deals with the problem of identifying the nature of noise and estimating its standard deviation from the observed image in order to be able to apply the most appropriate processing or analysis algorithm afterwards. In this study, we focus our attention on three classes of degraded noise images, the rst one being degraded by an additive noise, the second one by a multiplicative noise ...

The use of independent component analysis (ICA) in coherent images needs to take into account the presence of the multiplicative noise that exits in this kind of images. In this paper, the recovery of original images from a mixture contaminated with this type of noise is studied using the ICA ideas. The mixing matrix is obtained using the fourth order multiplicative ICA method, which extracts t...

When constructing non-parametric models from noisy data, it is useful to have information regarding the statistical properties of the noise distribution. In many cases, such information is not explicitly available, and must be estimated directly from the data. Under the hypothesis of additive noise, algorithms for estimating the variance of the noise distribution have appeared in the literature...